Edge Harmonic Mean Cordial Labeling of Some Cycle Related Graphs
Abstract
All the graphs considered in this article are simple and undirected. Let be a simple undirected Graph. A function is called Edge Harmonic Mean Cordial if the induced function defined by or where are the edges incident with the vertex which satisfies the condition and for any , where and denotes the number of vertices and number of edges with label respectively. A Graph is called Edge Harmonic Mean Cordial (EHMC) graph if it admits Edge Harmonic Mean Cordial labeling. In this article, we have discussed Edge Harmonic Mean Cordial Labeling of Some Cycle Related Graphs.
References
Gallian, J. A. (2024). A dynamic survey of graph labeling. Electronic Journal of combinatorics, 6(26), 4-623.
Gandhi, H., Parejiya, J., Jariya, M. M., & Solanki, R.. (2023). Harmonic Mean Cordial Labeling of One Chord Cn V G. International Journal of Membrane Science and Technology, 10(4), 2449-2456.
Gandhi, H., Parejiya, J., Jariya, M. M., & Solanki, R.. (2024). Harmonic Mean Cordial Labeling of Some Cycle Related Graphs. Educational Administration: Theory and Practice, 30(1), 1180–1188.
Gandhi H., Parejiya J., and Jariya M., (2025), Harmonic Mean Cordial Labeling In The Scenario of Duplicating Graph Elements, TWMS Journal of Applied And Engineering Mathematics, 15(6), pp. 1594-1607.
Gowri, J., & Jayapriya, J. (2021). Hmc Labeling of Certain Types of Graph. Turkish Journal of Computer and Mathematics Education, 12(10), 3913-3915.
Mundadiya, S., Parejiya, J., & Jariya, M. M. (2024). Root cube mean cordial labeling of C_n∨C_m, for n,m∈N. TWMS Journal of Applied And Engineering Mathematics.
Parejiya, J., Lalchandani, P. T., Jani, D. B., & Mundadiya, S. (2023, November). Some remarks on harmonic mean cordial labeling. In AIP Conference Proceedings (Vol. 2963, No. 1, p. 020019). AIP Publishing LLC.
Parejiya, J., Jani, D. B., & Hathi, Y. M. (2024). Harmonic Mean Cordial labeling of some graphs. TWMS Journal of Applied And Engineering Mathematics.
Parejiya, J., Mundadiya, S., Gandhi, H., Solanki, R., & Jariya, M. (2023, November). Root cube mean cordial labeling of K_(1,n)×P_m. In AIP Conference Proceedings (Vol. 2963, No. 1, p. 020020). AIP Publishing LLC.